Properties of the Number 42793

Forty-Two Thousand Seven Hundred Ninety-Three

Basics

Value: 42792 → 42793 → 42794

Parity: odd

Prime: Yes

Previous Prime: 42787

Next Prime: 42797

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 42793

Divisors: 1, 42793

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011100101001

Octal: 123451

Duodecimal: 20921

Hexadecimal: a729

Square: 1831240849

Square Root: 206.86469007542104

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Primes of the form p(k)² + q(m)² with k > 0 and m > 0, where p(.) is the partition function (A000041), and q(.) is the strict partition function (A000009). A233346

Position of first zero in the n-th differences of the squarefree numbers (A005117), or 0 if it does not appear. A377042

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318045

Number of surviving (but not bifurcating) odd nodes at generation n in the binary tree of persistently squarefree numbers (see A293230). A293519

The Riemann primes of the ψ type and index 1. A197185

Decimal part of a(n)^1/4 starts with a 'nine digits' anagram. A34279

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318041

Number of nX7 0..1 arrays with every element unequal to 0, 2, 3 or 4 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318044

Primes p such that p² + 1 has more divisors than p² - 1. A358879

Denominators of continued fraction convergents to sqrt(927). A42793